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Unique fuzzy optimal value of fully fuzzy linear programming problems

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Języki publikacji
EN
Abstrakty
EN
Kumar, Kaur and Singh (2011), proposed a new method to find the exact fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems with equality constraints. In this paper, an FFLP problem is chosen to show that the fuzzy optimal value, obtained by using the existing method, is not necessarily a unique fuzzy number i.e., the fuzzy optimal value of the FFLP problem, obtained by the existing method, does not conform to the uniqueness property of fuzzy optimal value. To overcome this shortcoming of the existing method, a new method is proposed for solving FFLP problems with equality constraints. To show the advantage of the proposed method the results of the chosen FFLP problem, obtained by using the existing and the proposed methods, are compared.
Rocznik
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497--508
Opis fizyczny
Bibliogr. 16 poz.
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Bibliografia
  • Allahviranloo, T., Lotfi, F.H., Kiasary, M.K., Kiani, N.A. and Alizadeh, L. (2008) Solving fully fuzzy linear programming problem by the ranking function. Applied Matematical Sciences 2, 19-32.
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  • Buckley, J. and Feuring, T. (2000) Evolutionary algorithm solution to fuzzy problems: fuzzy linear programming. Fuzzy Sets and Systems 109, 35-53.
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  • Ebrahimnejad, A., Nasseri, S.H., Lotfi, F.H. and Soltanifar, M. (2010) A prima-dual method for linear programming problems with fuzzy variables. European Journal of Industrial Engineering 4, 189-209.
  • Ganesan, K. and Veeramani, P. (2006) Fuzzy linear programs with trapezoid al fuzzy numbers. Annals of Operations Research 143, 305-315.
  • Hashemi, S.M., Modarres, M., Nasrabadi, E. and Nasrabadi, M.M. (2006) Fully fuzzified linear programming, solution and duality. Journal of Intelligent and Fuzzy Systems 17, 253-261.
  • Kumar, A., Kaur, J. and Singh, P. (2011) A new method for solving Fuldy fuzzy linear programming problems. Applied Mathematical Modelling 35, 817-823.
  • Kumar, A., Singh, P., Kaur, A. and Kaur, P. (2010) Ranking of generalized trapezoidal fuzzy numbers based on rank, mode, divergence and spread. Turkish Journal of Fuzzy Systems 2, 141-152.
  • Lotfi, F.H., Allahviranloo, T., Jondabeha, M.A. and Alizadeh, L. (2009) Solving a fully fuzzy linear programming using lexicography metod and fuzzy approximate solution. Applied Mathematical Modelling 33, 3151-3156.
  • Maleki, H.R. (2002) Ranking functions and their applications to fuzzy linear programming. Far East Journal of Mathematical Sciences 4, 283-301.
  • Maleki, H.R., Tata, M. and Mashinchi, M. (2000) Linear programming with fuzzy variables. Fuzzy Sets and Systems 109, 21-33.
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  • Zimmermann, H.J. (1978) Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems 1, 45-55.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BATC-0009-0057
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